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🟢 AKLT1D/ZZCorrelation/Infinite

Provisional v2 view — RES not wired

Generated by docs/atlas/generate.jl — a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: AKLT1988
  • Exact VBS ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-|r|} (r≠0), 2/3 (r=0); J-independent. ED in tests verifies finite-N convergence.

Corroboration

regimemechanismindependencerefsfile
@sweeped_finite_size🟢 structuralAffleck-Kennedy-Lieb-Tasaki 1988test/models/quantum/misc/test_aklt_verify_main.jl
@sweepsecond_closed_form🟢 structuralAKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-r
@sweepsecond_closed_form🟢 structuralAKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-r
@sweepsecond_closed_form🟢 structuralAKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-r
@sweepsecond_closed_form🟢 structuralAKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-r
@sweepsecond_closed_form🟢 structuralAKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-r

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(AKLT1D(), ZZCorrelation(; mode = :static), Infinite(); route = :ed_finite_size, independent = Float64[], at = ["N=$(verify_profile_Ns(; fast = (6, 8), full = (6, 8), nightly = (6, 8)))" for verify_profile_Ns(; fast = (6, 8), full = (6, 8), nightly = (6, 8)) = verify_profile_Ns(; fast = (6, 8), full = (6, 8), nightly = (6, 8))], agree_within = 0.03, fetch_kw = (; 2 = 2), refs = ["Affleck-Kennedy-Lieb-Tasaki 1988"])
verify(AKLT1D(), ZZCorrelation(; mode = :static), Infinite(); route = :second_closed_form, independent = if 0 == 0 2 / 3 else (-1) ^ 0 * (4 / 3) * 3.0 ^ -0 end, agree_within = 1.0e-14, refs = ["AKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-|r|}, J-independent"], fetch_kw = (; 0 = 0))
verify(AKLT1D(), ZZCorrelation(; mode = :static), Infinite(); route = :second_closed_form, independent = if 1 == 0 2 / 3 else (-1) ^ 1 * (4 / 3) * 3.0 ^ -1 end, agree_within = 1.0e-14, refs = ["AKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-|r|}, J-independent"], fetch_kw = (; 1 = 1))
verify(AKLT1D(), ZZCorrelation(; mode = :static), Infinite(); route = :second_closed_form, independent = if 2 == 0 2 / 3 else (-1) ^ 2 * (4 / 3) * 3.0 ^ -2 end, agree_within = 1.0e-14, refs = ["AKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-|r|}, J-independent"], fetch_kw = (; 2 = 2))
verify(AKLT1D(), ZZCorrelation(; mode = :static), Infinite(); route = :second_closed_form, independent = if 3 == 0 2 / 3 else (-1) ^ 3 * (4 / 3) * 3.0 ^ -3 end, agree_within = 1.0e-14, refs = ["AKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-|r|}, J-independent"], fetch_kw = (; 3 = 3))
verify(AKLT1D(), ZZCorrelation(; mode = :static), Infinite(); route = :second_closed_form, independent = if 4 == 0 2 / 3 else (-1) ^ 4 * (4 / 3) * 3.0 ^ -4 end, agree_within = 1.0e-14, refs = ["AKLT 1988: ⟨Sᶻ₀Sᶻ_r⟩ = (-1)^r (4/3) 3^{-|r|}, J-independent"], fetch_kw = (; 4 = 4))

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 6 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: AKLT1D · Quantity: ZZCorrelation · Atlas index